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I also understand the concerns with carbon-14 dating regarding the impact of fossil fuels / atomic activity in recent dating attempts.
I also am aware of new carbon contamination when sampling.
There are numerous applications of this technique - from dating human cells and cancerous tumours to figuring out when illegal drugs were harvested.
The same phenomenon really precludes using traditional radio-carbon dating over the last 50 years, however, prior to this it appear that the behaviour of atmospheric $^$C was more constant - to a few percent (see below, from Giem 1997, adapted from Stuyver & Becker 1993).
When listening to this CD set, you need to remember that the evolutionary scientists control the majority of peer review publications, science journals, laboratories and museums.
Indeed, by doing almost 20 seconds of research on google (type in “variations in C14”, click on Google Scholar) the second link is this article from 1954: Carbon 13 in plants and the relationships between carbon 13 and carbon 14 variations in nature So, this issue has been known about for a long time. Then we compare the two and adjust the radiocarbon date to the known date. That’s less than 1% if you’re interested in that sort of thing. But this is already almost a thousand words and I’ve only done ONE! Long story short, scientists have always known that variations in C-14 concentration happen.I understand that the method can provide dating up to ca.50,000 years into the past, but I'm interested in the other end of the time range: is there a point in time when younger (recent) specimens can no longer be dated with accepted accuracy?The method is known as bomb pulse dating and owes its efficacy to the large amount of $^$C that entered the atmosphere as a result of the testing of nuclear weapons.The $^$C atmospheric abundance peaked in the early to mid-1960s at around twice the longer-term average and has since declined pseudo-exponentially with an e-folding time of around 15 years.
You will learn how the radiometric dating methods actually work to see that they are unreliable and inaccurate.